Wow, the dancing sounds like a great thing for you two. What a good idea.
Here are my thoughts, as a gal who is similar to your wife:
When she says she wants to ML, and not just sex, she wants to know that you are wanting to be there with HER, and not just for the sake of release.
Ways you can reassure her that you are ML to her is by telling her she's beautiful, sexy, etc. CL, you can gain an immeasurable amount of points if you do these things outside the bedroom. She will then know that you are noticing HER and wanting HER and not just to scratch an itch, kwim?
I suspect it might be hard for you but if you can conquer latin dancing, I think nothing is impossible.